Rate Constant for different Products for Second Order Reaction Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate Constant for First Order Reaction = 2.303/(Time for completion*(Initial Reactant A Concentration-Initial Reactant B Concentration))*log10(Initial Reactant B Concentration*(Concentration at Time t of Reactant A))/(Initial Reactant A Concentration*(Concentration at Time t of Reactant B))
Kfirst = 2.303/(tcompletion*(CAO-CBO))*log10(CBO*(ax))/(CAO*(bx))
This formula uses 1 Functions, 6 Variables
Functions Used
log10 - The common logarithm, also known as the base-10 logarithm or the decimal logarithm, is a mathematical function that is the inverse of the exponential function., log10(Number)
Variables Used
Rate Constant for First Order Reaction - (Measured in 1 Per Second) - The Rate Constant for First Order Reaction is defined as the rate of the reaction divided by the concentration of the reactant.
Time for completion - (Measured in Second) - The Time for completion is defined as the time required for a complete transformation of reactant into the product.
Initial Reactant A Concentration - (Measured in Mole per Cubic Meter) - The Initial Reactant A Concentration refers to the amount of reactant A present in the solvent before the considered process.
Initial Reactant B Concentration - (Measured in Mole per Cubic Meter) - The Initial Reactant B Concentration refers to the amount of reactant B present in the solvent before the considered process.
Concentration at Time t of Reactant A - (Measured in Mole per Cubic Meter) - The Concentration at time t of reactant A is defined as the concentration of reactant A after a certain time interval.
Concentration at Time t of Reactant B - (Measured in Mole per Cubic Meter) - The Concentration at time t of reactant B is defined at the concentration of reactant b after a certain time interval.
STEP 1: Convert Input(s) to Base Unit
Time for completion: 10 Second --> 10 Second No Conversion Required
Initial Reactant A Concentration: 10 Mole per Liter --> 10000 Mole per Cubic Meter (Check conversion ​here)
Initial Reactant B Concentration: 7 Mole per Liter --> 7000 Mole per Cubic Meter (Check conversion ​here)
Concentration at Time t of Reactant A: 8 Mole per Liter --> 8000 Mole per Cubic Meter (Check conversion ​here)
Concentration at Time t of Reactant B: 5 Mole per Liter --> 5000 Mole per Cubic Meter (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Kfirst = 2.303/(tcompletion*(CAO-CBO))*log10(CBO*(ax))/(CAO*(bx)) --> 2.303/(10*(10000-7000))*log10(7000*(8000))/(10000*(5000))
Evaluating ... ...
Kfirst = 1.18960513507969E-11
STEP 3: Convert Result to Output's Unit
1.18960513507969E-11 1 Per Second --> No Conversion Required
FINAL ANSWER
1.18960513507969E-11 1.2E-11 1 Per Second <-- Rate Constant for First Order Reaction
(Calculation completed in 00.008 seconds)

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Created by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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Second Order Reaction Calculators

Time of Completion for different Products for Second Order Reaction
​ LaTeX ​ Go Time for completion = 2.303/(Rate Constant for Second Order Reaction*(Initial Reactant A Concentration-Initial Reactant B Concentration))*log10(Initial Reactant B Concentration*(Concentration at Time t of Reactant A))/(Initial Reactant A Concentration*(Concentration at Time t of Reactant B))
Rate Constant for different Products for Second Order Reaction
​ LaTeX ​ Go Rate Constant for First Order Reaction = 2.303/(Time for completion*(Initial Reactant A Concentration-Initial Reactant B Concentration))*log10(Initial Reactant B Concentration*(Concentration at Time t of Reactant A))/(Initial Reactant A Concentration*(Concentration at Time t of Reactant B))
Time of Completion for Same product for Second Order Reaction
​ LaTeX ​ Go Time for completion = 1/(Concentration at time t for second order*Rate Constant for Second Order Reaction)-1/(Initial Concentration for Second Order Reaction*Rate Constant for Second Order Reaction)
Rate Constant for Same Product for Second Order Reaction
​ LaTeX ​ Go Rate Constant for Second Order Reaction = 1/(Concentration at time t for second order*Time for completion)-1/(Initial Concentration for Second Order Reaction*Time for completion)

Rate Constant for different Products for Second Order Reaction Formula

​LaTeX ​Go
Rate Constant for First Order Reaction = 2.303/(Time for completion*(Initial Reactant A Concentration-Initial Reactant B Concentration))*log10(Initial Reactant B Concentration*(Concentration at Time t of Reactant A))/(Initial Reactant A Concentration*(Concentration at Time t of Reactant B))
Kfirst = 2.303/(tcompletion*(CAO-CBO))*log10(CBO*(ax))/(CAO*(bx))

What is second order reaction?

In second order reaction, the rate of the reaction is proportional to the second power of the concentration of the reactant if a single reactant is given. The inverse of the concentration of the reactant in second order reaction increases linearly with time.

How to Calculate Rate Constant for different Products for Second Order Reaction?

Rate Constant for different Products for Second Order Reaction calculator uses Rate Constant for First Order Reaction = 2.303/(Time for completion*(Initial Reactant A Concentration-Initial Reactant B Concentration))*log10(Initial Reactant B Concentration*(Concentration at Time t of Reactant A))/(Initial Reactant A Concentration*(Concentration at Time t of Reactant B)) to calculate the Rate Constant for First Order Reaction, The Rate constant for different products for second order reaction formula is defined as the average rate of the reaction per concentration of the two different reactants each having power raised to 1. Rate Constant for First Order Reaction is denoted by Kfirst symbol.

How to calculate Rate Constant for different Products for Second Order Reaction using this online calculator? To use this online calculator for Rate Constant for different Products for Second Order Reaction, enter Time for completion (tcompletion), Initial Reactant A Concentration (CAO), Initial Reactant B Concentration (CBO), Concentration at Time t of Reactant A (ax) & Concentration at Time t of Reactant B (bx) and hit the calculate button. Here is how the Rate Constant for different Products for Second Order Reaction calculation can be explained with given input values -> 1.2E-11 = 2.303/(10*(10000-7000))*log10(7000*(8000))/(10000*(5000)).

FAQ

What is Rate Constant for different Products for Second Order Reaction?
The Rate constant for different products for second order reaction formula is defined as the average rate of the reaction per concentration of the two different reactants each having power raised to 1 and is represented as Kfirst = 2.303/(tcompletion*(CAO-CBO))*log10(CBO*(ax))/(CAO*(bx)) or Rate Constant for First Order Reaction = 2.303/(Time for completion*(Initial Reactant A Concentration-Initial Reactant B Concentration))*log10(Initial Reactant B Concentration*(Concentration at Time t of Reactant A))/(Initial Reactant A Concentration*(Concentration at Time t of Reactant B)). The Time for completion is defined as the time required for a complete transformation of reactant into the product, The Initial Reactant A Concentration refers to the amount of reactant A present in the solvent before the considered process, The Initial Reactant B Concentration refers to the amount of reactant B present in the solvent before the considered process, The Concentration at time t of reactant A is defined as the concentration of reactant A after a certain time interval & The Concentration at time t of reactant B is defined at the concentration of reactant b after a certain time interval.
How to calculate Rate Constant for different Products for Second Order Reaction?
The Rate constant for different products for second order reaction formula is defined as the average rate of the reaction per concentration of the two different reactants each having power raised to 1 is calculated using Rate Constant for First Order Reaction = 2.303/(Time for completion*(Initial Reactant A Concentration-Initial Reactant B Concentration))*log10(Initial Reactant B Concentration*(Concentration at Time t of Reactant A))/(Initial Reactant A Concentration*(Concentration at Time t of Reactant B)). To calculate Rate Constant for different Products for Second Order Reaction, you need Time for completion (tcompletion), Initial Reactant A Concentration (CAO), Initial Reactant B Concentration (CBO), Concentration at Time t of Reactant A (ax) & Concentration at Time t of Reactant B (bx). With our tool, you need to enter the respective value for Time for completion, Initial Reactant A Concentration, Initial Reactant B Concentration, Concentration at Time t of Reactant A & Concentration at Time t of Reactant B and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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